11 citations · 32 across the 32 of their papers we have counts for
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math.AC2019★ 1 cited
Ideals of reduction number two
Shinya Kumashiro
In a local Cohen-Macaulay ring , we study the Hilbert function of an -primary ideal whose reduction number is two. It is a continuous work of the p…
math.AC2019★ 2 cited
The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings
Shinya Kumashiro
The Auslander-Reiten conjecture is a notorious open problem about the vanishing of Ext modules. In a Cohen-Macaulay complete local ring with a parameter ideal , the Auslande…